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arXiv · 2004.08381

Enumerating Chemical Graphs with Two Disjoint Cycles Satisfying Given Path Frequency Specifications

Kyousuke Yamashita·Ryuji Masui·Xiang Zhou·Chenxi Wang·Aleksandar Shurbevski·Hiroshi Nagamochi·Tatsuya Akutsu
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Abstract

Enumerating chemical graphs satisfying given constraints is a fundamental problem in mathematical and computational chemistry, and plays an essential part in a recently proposed framework for the inverse QSAR/QSPR. In this paper, constraints are given by feature vectors each of which consists of the frequencies of paths in a given set of paths. We consider the problem of enumerating chemical graphs that satisfy the path frequency constraints, which are given by a pair of feature vectors specifying upper and lower bounds of the frequency of each path. We design a branch-and-bound algorithm for enumerating chemical graphs of bi-block 2-augmented structure, that is, graphs that contain two edge-disjoint cycles. We present some computational experiments with an implementation of our proposed algorithm.

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Kyousuke Yamashita, Ryuji Masui, Xiang Zhou, Chenxi Wang, Aleksandar Shurbevski, Hiroshi Nagamochi, Tatsuya Akutsu. 2020-04-18. Enumerating Chemical Graphs with Two Disjoint Cycles Satisfying Given Path Frequency Specifications. https://arxiv.org/abs/2004.08381

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